Three schools x, y and z organized a fete (mela) for collecting funds for flood victims in which they sold - Maths - Matrices

Question

Three schools x, y and z organized a fete (mela) for collecting
funds for flood victims in which they sold hand-held fans, mats and
toys made from recycled material , the sale price of each being
₹25, ₹100, ₹50 respectively The following table
shows the number of articles of each type sold:
Articles school x Y Z
Hand-held fans 30 40 35
Mats 12 15 20
Toys 70 55 75
using matrices , find the funds collected by each school by selling
the above articles and the total funds collected Also write any one
value generated by the above situations

Anuradha Sharma · Accepted Answer

The number of article sold by each school can be written in the matrix form as, X = 304035121520705575The cost of each article can be written in the matrix form as follows:Y = 2510050The fund collected by each school is given by, YX =2510050 304035121520705575=750+1200+35001000+1500+2750875+2000+3750=545052506625Thus the fund collected by school A,B and C are Rs
 5450, Rs  5250Rs 6625 , respectively
Total fund collected = Rs
 5450+5250+6625=Rs 17,325